1021317456401 has 8 divisors (see below), whose sum is σ = 1114222538784. Its totient is φ = 928422047520.

The previous prime is 1021317456373. The next prime is 1021317456421. The reversal of 1021317456401 is 1046547131201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-1021317456401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1021317456421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2196731 + ... + 2620736.

It is an arithmetic number, because the mean of its divisors is an integer number (139277817348).

Almost surely, 2^{1021317456401} is an apocalyptic number.

1021317456401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1021317456401 is a deficient number, since it is larger than the sum of its proper divisors (92905082383).

1021317456401 is a wasteful number, since it uses less digits than its factorization.

1021317456401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836751.

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 1021317456401 in words is "one trillion, twenty-one billion, three hundred seventeen million, four hundred fifty-six thousand, four hundred one".